If you really want an engineering or engineering-adjacent career, it seems to me that this transfer makes sense, and it’s not a downgrade in terms of reputation, in the STEM world.
I would think that it might make more sense to transfer into the Engineering Physics major. This would probably dovetail better with the coursework you’ve already done as a physics major, but it’s still an ABET engineering degree that includes a concentration of your choice - the available concentrations are:
- Biomedical Engineering
- Chemical and Biomolecular Engineering
- Civil and Environmental Engineering
- Computer and Data Sciences
- Electrical, Computer, and Systems Engineering
- Macromolecular Science and Engineering
- Mechanical and Aerospace Engineering
- Materials Science and Engineering
So, you could concentrate in Electrical if you wanted, or Mechanical/Aero, or even Materials - any of these could be a stepping stone into an Aero career or grad program. And you probably wouldn’t have as much backfilling to do, to finish the BSE. Compare the requirements for yourself and see, but I don’t see the downside if your ultimate goal isn’t to go all-in with EE but just to use it as a stepping stone; the concentration within Engineering Physics should be enough for that, and the extra-strong physics foundation would be an asset in the aero industry and would fit well with the path you’ve been on so far.